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Finding the Fourth Proportional to 570.15, 854.64 and 323.10

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Solution

The fourth proportional to 570.15, 854.64 and 323.10 is: 484.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.15 : 854.64 = 323.10 : x
  2. Step 2: Convert to fraction form
    570.15/854.64 = 323.10/x
  3. Step 3: Cross multiply
    570.15x = 854.64 × 323.10
  4. Step 4: Simplify right side
    570.15x = 276,134.18
  5. Step 5: Solve for x
    x = 276,134.18/570.15
  6. Step 6: Final answer
    x = 484.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.